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受欢迎的代数 >

2xsqrt(100-x^2)=x

解答

2 x 100 - x^{2} = x

解答

x = 0, x = \frac{399}{2}, x = - \frac{399}{2}

+1

十进制

x = 0, x = 9.98749 \dots, x = - 9.98749 \dots

求解步骤

2 x 100 - x^{2} = x

将

x

para o lado esquerdo

2 x 100 - x^{2} - x = 0

因式分解

2 x 100 - x^{2} - x : x (2 100 - x^{2} - 1)

x (2 100 - x^{2} - 1) = 0

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

x = 0 or 2 100 - x^{2} - 1 = 0

解

2 100 - x^{2} - 1 = 0 : x = \frac{399}{2}, x = - \frac{399}{2}

x = 0, x = \frac{399}{2}, x = - \frac{399}{2}

验证解:

x = 0

真

, x = \frac{399}{2}

真

, x = - \frac{399}{2}

真

解为

x = 0, x = \frac{399}{2}, x = - \frac{399}{2}

作图

流行的例子

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